Worksheet: Union of Sets

In this worksheet, we will practice finding the union between two sets or more.

Q1:

Find {5}{45}.

  • A{5,4}
  • B{5,45}
  • C{545}
  • D{4}
  • E{5}

Q2:

What is {9}{9}?

  • A{99}
  • B{9}
  • C
  • D{9,99}

Q3:

Find {0,1,3,4}.

  • A
  • B{0,1,3,4}
  • C{0}
  • D{134}

Q4:

Given that {6,7}{1,8}={7,8,𝑥,6}, what is the value of 𝑥?

Q5:

What is {47}{74}?

  • A{4,7,47}
  • B{4,7,74}
  • C{4,7}
  • D{4,7,47,74}
  • E{47,74}

Q6:

Find {0,1,6,10}{3,7,8}.

  • A{0,1,3,6,7,8}
  • B{3,8,16}
  • C{0,1,6,7,8,10}
  • D{0,1,3,6,7,8,10}

Q7:

What is {3,6,9}{6,39}?

  • A{9}
  • B{3,6,9}
  • C{3,6,9,36,63}
  • D{3,6,9,63}
  • E{3,6,63}

Q8:

If 𝑋={5,7,4,3} and 𝑌={4,6,8,5,3}, what is 𝑋𝑌?

  • A{5,4,3}
  • B{5,7,4,3,6,8}
  • C{7,6,8}
  • D{5,7,4,3}

Q9:

If 𝑋={1,4,3}, what is 𝑋𝑋?

  • A{3}
  • B{1,4}
  • C{1,4,3}
  • D

Q10:

Find {𝑓,𝑖,𝑧}{𝑖,,𝑎}.

  • A{𝑓,𝑎,,𝑧}
  • B{𝑖}
  • C{𝑖,𝑓,𝑎,,𝑑}
  • D{𝑖,𝑓,𝑎,,𝑧}

Q11:

Given that 𝑋={6,5,7} and 𝑌={8,5,3,6}, find 𝑋.

  • A
  • B{6,5,7,8,3}
  • C{6,5,7}
  • D{8,5,3,6}

Q12:

Given that {2,7}{1,𝑥,6}={6,2,1,𝑥}, what is the value of 𝑥?

Q13:

Given that {21}{𝑥}={21,15}, what is the value of 𝑥?

Q14:

Given that {8,1}{𝑥,2}={8,2,1}, what is the value of 𝑥?

  • A
  • B18
  • C81
  • D8or1

Q15:

Find the union set of {6,1,3,5} and the set of digits in the number 46,786.

  • A{6}
  • B{6,1,3,5,4,7,8}
  • C{1,3,5,4,8}
  • D{1,3,5,4,7,8}
  • E{5,8,7,4,9,1,3}

Q16:

Use or to fill in the gap: If 𝑋={1,2,7,5} and 𝑌={7,4,2,8}, then {5,7}𝑋𝑌.

  • A
  • B

Q17:

Find {6,8,10}{4,6}{0,10}.

  • A{0,4,8,10}
  • B{0,4,6,10}
  • C{0,4,6,8,10}
  • D{6,8,10}

Q18:

If 𝑋={4,0,1}, 𝑌={6,7,8}, and 𝑍={5,0,3,2}, what is (𝑋𝑌)𝑍?

  • A{0,1,2,3,4,5,6,7,8}
  • B{0}
  • C{0,2,3,5,6,7,8}
  • D{0,1,4,6,7,8}

Q19:

Use or to fill in the gap: If 𝑋={7,2,1,8} and 𝑌={4,2,1}, then 22𝑋𝑌.

  • A
  • B

Q20:

Given that {9,14}{5𝑥,5}={9,𝑥,14,25}, what is the value of 𝑥?

Q21:

Given that {2,𝑥}{12,2}={12,2,11}, what is the value of 𝑥?

Q22:

Use or to fill in the gap: If 𝑋={6,4,8} and 𝑌={8,6,4,5}, then 1𝑋𝑌.

  • A
  • B

Q23:

Given that {9,𝑥}{3𝑥,𝑥+5}={3,9,8}, what is the value of 𝑥?

Q24:

What is ?

  • A
  • B
  • C
  • D

Q25:

Given that {𝑘,1}{8,5,6,2}={2,8,9,6,1,5}, determine the value of 𝑘.

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